Instabilities in two-dimensional spatially periodic flows. Part II: Square eddy lattice

DOI10.1063/1.858521zbMath0753.76062OpenAlexW2034340675MaRDI QIDQ4019471

André Thess

Publication date: 16 January 1993

Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.858521

zbMATH Keywords

linear stabilityFloquet theoryconfinementtransition to turbulenceglobal rotationlinear frictionquasiperiodic perturbationsexistence of bicritical pointsfirst unstable mode

Mathematics Subject Classification ID

Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (8)

Secondary flows from a linear array of vortices perturbed principally by a Fourier mode ⋮ Instability of a square eddy flow and the existence of secondary steady-state flow ⋮ Adaptive control of a seven mode truncation of the Kolmogorov flow with drag ⋮ Spectral methods based on the least dissipative modes for wall bounded MHD flows ⋮ Secondary steady-state and time-periodic flows from a basic flow with square array of odd number of vortices ⋮ Steady-state bifurcation of a non-parallel flow involving energy dissipation over a Hartmann boundary layer ⋮ Secondary fluid flows driven electromagnetically in a two-dimensional extended duct ⋮ Instabilities in two-dimensional spatially periodic flows. Part III: Inviscid triangular lattice

Cites Work

• Quantitative universality for a class of nonlinear transformations
• The QR algorithm for real Hessenberg matrices
• On the nature of turbulence
• Secondary instability of wall-bounded shear flows
• Negative viscosity effect in large-scale flows
• The two- and three-dimensional instabilities of a spatially periodic shear layer
• Stability of an oscillating Kolmogorov flow

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